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Finding the Fourth Proportional to 192,244.50, 265,292.24 and 106,201.62

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Solution

The fourth proportional to 192,244.50, 265,292.24 and 106,201.62 is: 146,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,244.50 : 265,292.24 = 106,201.62 : x
  2. Step 2: Convert to fraction form
    192,244.50/265,292.24 = 106,201.62/x
  3. Step 3: Cross multiply
    192,244.50x = 265,292.24 × 106,201.62
  4. Step 4: Simplify right side
    192,244.50x = 28,174,465,130.42
  5. Step 5: Solve for x
    x = 28,174,465,130.42/192,244.50
  6. Step 6: Final answer
    x = 146,555.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.